Question: Suppose f(x) is continuous on [3, 7] and 3 S f' (x) g 3 for all x in (3, 7). Use the Mean Value Theorem
![Suppose f(x) is continuous on [3, 7] and 3 S f'](https://s3.amazonaws.com/si.experts.images/answers/2024/06/667b1cd5632ac_341667b1cd54b9a8.jpg)

Suppose f(x) is continuous on [3, 7] and 3 S f' (x) g 3 for all x in (3, 7). Use the Mean Value Theorem to estimate f(7) f(3). Answer: | S f (7) - f (3) S
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